A series combination of three capacitors of capacities $1\,\mu \,F,\,2\,\mu \,F$ and $8\,\mu \,F$ is connected to a battery of $e.m.f.$ $13\, volt$. The potential difference across the plates of $2\,\mu \,F$ capacitor will be.....$V$
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(c) $\frac{1}{{{C_{eq}}}} = \frac{1}{1} + \frac{1}{2} + \frac{1}{8} \Rightarrow {C_{eq}} = \frac{8}{{13}}\,\mu F$
Total charge $Q = {C_{eq}}V = \frac{8}{{13}} \times 13 = 8\,\mu C$
Potential difference across $2\,µF$ capacitor $ = \frac{8}{2} = 4\,V$
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